Finite Group Databasebeta

← Group #72262779

Character table — Group #72262779

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111222222444444888888888888888161616161616161616161616161616161616161632323232323232323264646464
order1222222222224444222444444444444222224444444444444444444488884488
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1-1-11-1-11111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111111-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1111111-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1111111-1-1
χ91111111111-1-1-1-111-1111-11111-1-1-1-111-11-1111-11-1-11-111111111-1-1-1-1-111-1-11-11-1
χ101111111111-1-1-1-111-1111-11111-1-1-1-111-11-1-1-11-11-1-11-1-1-1-1-111-1-111-11111-1-1-11-11
χ111111111111-1-1-1-111-1111-11111-1-1-1-111-1-1111-11-11-1-1111111111-1-1-1-1-1-1-111-11-11
χ121111111111-1-1-1-111-1111-11111-1-1-1-111-1-11-1-1-11-11-1-11-1-1-1-111-1-111-111-1-1111-11-1
χ131111111111-1-1-1-111-1111-1-1-1-1-1111111-11-1111-11-1-11-111-1-1-1-1-1-1111-1-1-1-1111-1-11
χ141111111111-1-1-1-111-1111-1-1-1-1-1111111-11-1-1-11-11-1-11-1-1-111-1-111-1-1111-1-111-111-1
χ151111111111-1-1-1-111-1111-1-1-1-1-1111111-1-1111-11-11-1-1111-1-1-1-1-1-1111-1-111-1-1-111-1
χ161111111111-1-1-1-111-1111-1-1-1-1-1111111-1-11-1-1-11-11-1-11-1-111-1-111-1-111111-1-11-1-11
χ1722222222222222222-2-22222222222-2-2-200000000-2000000-2-20000-20000000000
χ1822222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-200000000-200000022000020000000000
χ19222222222222-2-2-2-2222-2-200000000-2-2-200220000200-2-20000000002-200000000
χ20222222222222-2-2-2-2222-2-200000000-2-2-200-2-2000020022000000000-2200000000
χ21222222222222-2-2-2-22-2-2-2-20000000022200000000-200002200-2-2-2200000000000
χ22222222222222-2-2-2-22-2-2-2-20000000022200000000-20000-2-200222-200000000000
χ232222222222-2-222-2-2-222-2200000000-2-2200220000-200-2-2000000000-2200000000
χ242222222222-2-222-2-2-222-2200000000-2-2200-2-20000-200220000000002-200000000
χ252222222222-2-222-2-2-2-2-2-220000000022-200000000200002200-2-22-200000000000
χ262222222222-2-222-2-2-2-2-2-220000000022-20000000020000-2-20022-2200000000000
χ272222222222-2-2-2-222-2-2-22-22222-2-2-2-2-2-22000000002000000-2-2000020000000000
χ282222222222-2-2-2-222-2-2-22-2-2-2-2-22222-2-22000000002000000220000-20000000000
χ29222222-2-2-2-20000-2-202-2202i2i−2i−2i00002-200200020-200-200002i−2i0000000002i−2i0000
χ30222222-2-2-2-20000-2-202-2202i2i−2i−2i00002-200-2000-20200200002i−2i000000000−2i2i0000
χ31222222-2-2-2-20000-2-202-220−2i−2i2i2i00002-200200020-200-20000−2i2i000000000−2i2i0000
χ32222222-2-2-2-20000-2-202-220−2i−2i2i2i00002-200-2000-2020020000−2i2i0000000002i−2i0000
χ33222222-2-2-2-20000-2-20-22202i2i−2i−2i0000-220200020-200-200000−2i2i00000002i−2i000000
χ34222222-2-2-2-20000-2-20-22202i2i−2i−2i0000-220-2000-20200200000−2i2i0000000−2i2i000000
χ35222222-2-2-2-20000-2-20-2220−2i−2i2i2i0000-220200020-200-2000002i−2i0000000−2i2i000000
χ36222222-2-2-2-20000-2-20-2220−2i−2i2i2i0000-220-2000-202002000002i−2i00000002i−2i000000
χ37444444-4-4-4-400004404-4-4000000000-44000000000000000000000000000000000
χ38444444-4-4-4-40000440-44-40000000004-4000000000000000000000000000000000
χ394444-4-44-4-440044000000-4000000000002200-2-2220-2-2000000000000000000000
χ404444-4-44-4-440044000000-400000000000-2-20022-2-2022000000000000000000000
χ414444-4-44-4-4400-4-40000004000000000002-200-222-20-22000000000000000000000
χ424444-4-44-4-4400-4-4000000400000000000-22002-2-2202-2000000000000000000000
χ434444-4-4-444-4440000-40000000000000002200-2-2-2-2022000000000000000000000
χ444444-4-4-444-4440000-4000000000000000-2-20022220-2-2000000000000000000000
χ454444-4-4-444-4-4-4000040000000000000002-200-22-2202-2000000000000000000000
χ464444-4-4-444-4-4-400004000000000000000-22002-22-20-22000000000000000000000
χ4744-4-44-4000000004i−4i000002+2i−2−2i2−2i−2+2i0000000002-200000002i−2i2-2002i−2i0000000000000
χ4844-4-44-4000000004i−4i000002+2i−2−2i2−2i−2+2i000000000-220000000−2i2i-2200−2i2i0000000000000
χ4944-4-44-4000000004i−4i00000−2−2i2+2i−2+2i2−2i0000000002-200000002i−2i-2200−2i2i0000000000000
χ5044-4-44-4000000004i−4i00000−2−2i2+2i−2+2i2−2i000000000-220000000−2i2i2-2002i−2i0000000000000
χ5144-4-44-400000000−4i4i000002−2i−2+2i2+2i−2−2i0000000002-20000000−2i2i2-200−2i2i0000000000000
χ5244-4-44-400000000−4i4i000002−2i−2+2i2+2i−2−2i000000000-2200000002i−2i-22002i−2i0000000000000
χ5344-4-44-400000000−4i4i00000−2+2i2−2i−2−2i2+2i0000000002-20000000−2i2i-22002i−2i0000000000000
χ5444-4-44-400000000−4i4i00000−2+2i2−2i−2−2i2+2i000000000-2200000002i−2i2-200−2i2i0000000000000
χ5588-8-8-8800000000000000000004i4i−4i−4i00000000000000000000000000000000000
χ5688-8-8-880000000000000000000−4i−4i4i4i00000000000000000000000000000000000
χ578-88-800800-80000000000000004i−4i4i−4i00000000000000000000000000000000000
χ588-88-800800-8000000000000000−4i4i−4i4i00000000000000000000000000000000000
χ598-88-800-8008008-800000000000000000000000000000000000000000000000000
χ608-88-800-800800-8800000000000000000000000000000000000000000000000000
χ618-8-880008-800000000000000004-4-4400000000000000000000000000000000000
χ628-8-880008-80000000000000000-444-400000000000000000000000000000000000
χ638-8-88000-8808-80000000000000000000000000000000000000000000000000000
χ648-8-88000-880-880000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).